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Finding the Third Proportional to 89,307.06 and 192,635.94

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Solution

The third proportional to 89,307.06 and 192,635.94 is: 415,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307.06 : 192,635.94 = 192,635.94 : x
  2. Step 2: Convert to fraction form
    89,307.06/192,635.94 = 192,635.94/x
  3. Step 3: Cross multiply
    89,307.06x = 192,635.94 × 192,635.94
  4. Step 4: Simplify right side
    89,307.06x = 37,108,604,416.50
  5. Step 5: Solve for x
    x = 37,108,604,416.50/89,307.06
  6. Step 6: Final answer
    x = 415,517.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.